Page 189 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

bdkbZ—11% dksfV lglaca/ fof/

2
fu'p;u xq.kkad r (.64) gksxk ftlls ;g fu"d"kZ fudyrk gS fd ewY;&Lrj esa gksus okys 64% mPpkopu eqnzk dh uksV
ek=kk esa gksus okys cnyko osQ dkj.k gksrs gSaA vFkkZr~ ;fn Y dk oqQy izlj.k 1 gS rks mlesa ls Li"V izlj.k dk
va'k .64 gSA ckdh (1 – .64) ;k 36% fopj.k vU; dkj.kksa ls gSA vU; dkj.kksa ls gksus okys fopj.k dks va'k dgrs
gSaA lw=kkuqlkjμ
sy 2
2
2
u = 1 – r ;k 2
oy
vfu'p;u xq.kkad osQ oxZewY; (u) dks vlg&lEcU/ xq.kkad Hkh dgrs gSaA
L syO
M N u = − 1 r = 2 oy P Q

fu'p;u xq.kkad fdls dgrs gSa\

mnkgj.k (Illustration) 8: fuEukafdr leadksa ls (i) fu'p;u xq.kkad] (ii) vLi"VhÑr izlj.k] (iii) vlg&lEc¼
xq.kkad rFkk (iv) vuqeku dk izeki foHkze Hkh Kkr dhft,A
X : 7 9 5 8 6 9 7 4 8 7
Y : 10 12 6 9 8 11 10 5 10 9
gy (Solution):
Y osQ laxf.kr ewY;ksa (y ) dk ifjx.kuk
c
X Y XY x 2 a + bx = yc
7 10 70 49 0.25 + 1.25 × 7 = 9.00
9 12 108 81 0.25 + 1.25 × 9 = 11.50
5 6 30 25 0.25 + 1.25 × 5 = 6.50
8 9 72 64 0.25 + 1.25 × 8 = 10.25
6 8 48 36 0.25 + 1.25 × 6 = 7.75
9 11 99 81 0.25 + 1.25 × 9 = 11.50
7 10 70 49 0.25 + 1.25 × 7 = 9.00
4 5 20 16 0.25 + 1.25 × 4 = 5.25
8 10 80 64 0.25 + 1.25 × 8 = 10.25
7 9 63 49 0.25 + 1.25 × 7 = 9.00
2
Σx = 70 Σy = 90 Σxy = 660 Σx = 514 Σyc = 90.00
(i) U;wure oxZ jhfr }kjk r dh x.kuk
izlkekU; lehdj.k
Σy = Na + bΣx 90 = 10a + 70b ...(1)
Σxy = aΣx + bΣx 660 = 70a + 514b ...(2)
2
lehdj.k (1) esa 7 dk xq.kk djus ij rFkk mlesa ls leh- (2) dks ?kVkus ij]
630 = 70a + 490b
660 = 70a + 514b
– – –
– 30 = – 24b
30
b = = 1.25
24

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